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Showing 2006 · math.COShow all
3 papers · 2 filters
math.CO2006
Partially directed paths in a wedge
E. J. Janse van Rensburg, T. Prellberg, A. Rechnitzer
The enumeration of lattice paths in wedges poses unique mathematical challenges. These models are not translationally invariant, and the absence of this symmetry complicates both t…
math.CO2006
Problems on Polytopes, Their Groups, and Realizations
Egon Schulte, Asia Ivic Weiss
The paper gives a collection of open problems on abstract polytopes that were either presented at the Polytopes Day in Calgary or motivated by discussions at the preceding Workshop…
math.CO2006
Semisymmetric Graphs from Polytopes
Barry Monson, Tomaz Pisanski, Egon Schulte +1
Every finite, self-dual, regular (or chiral) 4-polytope of type {3,q,3} has a trivalent 3-transitive (or 2-transitive) medial layer graph. Here, by dropping self-duality, we obtain…